Professor Iaia invites you to attend the PhD Dissertation Defense of Mageed Ali.

WHEN: Tuesday, February 2nd, at 11:00am

"Radial Solution of Singular Semilinear Equations on Exterior Domains"

ABSTRACT:

We prove existence and nonexistence of radial solutions of singular semilinear equations Δu + k(x)ƒ(u)=0 with boundary condition on the exterior of the ball with radius R>0 in ℝN such that lim r →∞ u(r)=0, where ƒ: ℝ \ {0} →ℝ is an odd and locally Lipschitz continuous nonlinear function such that there exists a β >0 with ƒ 0 on (β, ∞), and K(r) ~ r-α for some α >0.